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1
GATE2020EE20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time at diode turn ... entering $1, 2, 3, or\:4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.
asked
Feb 28
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gate2020ee
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2
GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. ... $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
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Feb 13, 2019
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Arjun
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gate2019ee
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3
GATE2019 EE: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
+1
vote
1
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4
GATE201721
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2} \\$ $\frac{4}{9} \\$ $\frac{5}{9} \\$ $\frac{6}{9} $
asked
Feb 27, 2017
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by
Arjun
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5.4k
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gate2017ee2
0
votes
0
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5
GATE2017214
A $3$phase, $4$pole, $400$V, $50$Hz squirrelcage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to $1500$ $1470$ $157$ $154$
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
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0
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6
GATE2017240
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
votes
0
answers
7
GATE2015252
The following discretetime equations result from the numerical integration of the differential equations of an undamped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\frac{x_{k+1}x_{k}}{h}=y_{k}$ ... stable for $0 < h <\frac{1}{2\pi}$ The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$
asked
Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee2
0
votes
1
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8
GATE201814
In the logic circuit shown in the figure, $Y$ is given by $Y=ABCD$ $Y=(A+B)(C+D)$ $Y=A+B+C+D$ $Y=AB+CD$
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
0
votes
0
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9
GATE2017255
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of a soap (assuming ... , of the resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
votes
0
answers
10
GATE2015150
A $200/400$ V, $50$ Hz, twowinding transformer is rated at $20$ kVA. Its windings are connected as an autotransformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the autotransformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
asked
Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee1
twowinding
transformer
autotransformer
numericalanswers
0
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0
answers
11
GATE2019 EE: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
0
votes
0
answers
12
GATE2017249
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.
asked
Feb 27, 2017
in
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
votes
0
answers
13
GATE2017224
The nominal $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
votes
0
answers
14
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
0
answers
15
GATE201714
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
0
votes
0
answers
16
GATE20184
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) Triac only Triac and MOSFET Triac and GTO Thyristor and Triac
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
0
votes
0
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17
GATE201851
A $3$phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. Iron loss of the transformer is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
18
GATE2017149
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
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Arjun
(
5.4k
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gate2017ee1
numericalanswers
0
votes
0
answers
19
GATE2019 EE: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
votes
0
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20
GATE2020EE53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperaturedependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. ... error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.
asked
Feb 28
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jothee
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1.4k
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gate2020ee
0
votes
0
answers
21
GATE201818
Let $f$ be a realvalued function of a real variable defined as $f(x)=x – [x]$, where $[x]$ denotes the largest integer less than or equal to $x$. The value of $\int_{0.25}^{1.25} f(x) dx$ is _______ (up to $2$ decimal places).
asked
Feb 19, 2018
in
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Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
22
GATE2019 EE: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______
asked
Feb 13, 2019
in
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by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
1
answer
23
GATE201852
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
asked
Feb 19, 2018
in
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by
Arjun
(
5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
24
GATE20128
If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$transform in the $Z$plane will be $\frac{1}{3} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid < \frac{1}{2}$ $\frac{1}{2} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid $
asked
Mar 24, 2018
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by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
25
GATE201850
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ripple. Both ... average value of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
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Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
26
GATE2017223
The mean square value of the given periodic waveform $f(t)$ is __________.
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
votes
0
answers
27
GATE201246
The locked rotor current in a $3$phase, star connected $15$ kW, $4$pole, $230$ V, $50$ Hz induction motor at rated conditions is $50$ A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a $236$ V, $57$ Hz supply is $58.5$ A $45.0$ A $42.7$ A $55.6$ A
asked
Mar 24, 2018
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Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
28
GATE2017253
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are operating in parallel to share a load of $600$MW. Assuming free governor action, the load shared by the larger unit is _________ MW.
asked
Feb 27, 2017
in
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Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
0
answers
29
GATE201854
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At noload, the motor speed can be approximated to the synchronous speed. The noload lagging power factor of the motor is __________ (up to $3$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
30
GATE2017151
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ are $p_{k}=\frac{1}{\sqrt{2}} \text{exp}(j\frac{(2k1)\pi}{4})$ ... all at $z=0$. Let $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
numericalanswers
0
votes
0
answers
31
GATE2019 EE: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}1}{z} \\ $ $\frac{z^{2}1}{z+2} \\ $ $\frac{z^{2}1}{z0.5} \\ $ $\frac{z^{2}1}{z+j0.5} $
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
0
votes
0
answers
32
GATE2019 EE: 8
A $5kVA, 50V/100V,$ singlephase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
asked
Feb 13, 2019
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Arjun
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gate2019ee
0
votes
0
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33
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
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Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
numericalanswers
0
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0
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34
GATE201841
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The baseemitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
1
answer
35
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
asked
Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
0
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0
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36
GATE201842
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
answers
37
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
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Feb 13, 2019
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Arjun
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5.4k
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gate2019ee
0
votes
0
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38
GATE2017144
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
numericalanswers
0
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0
answers
39
GATE2020EE25
The crosssection of a metaloxidesemiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is ... of bias, expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________
asked
Feb 28
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jothee
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1.4k
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gate2020ee
0
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0
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40
GATE201844
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
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Feb 19, 2018
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Arjun
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gate2018ee
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